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Stockholders' Equity (Tables)
3 Months Ended
Oct. 31, 2021
Stockholders' Equity Note [Abstract]  
Schedule of Weighted-Average Assumptions to Estimate Option Grant Date Fair Values The weighted-average assumptions used in the Black-Scholes valuation model are reflected in the following table:
Three months ended October 31,
Black-Scholes Option Valuation Assumptions20212020
Expected term (in years)6.146.21
Expected volatility29.98 %30.71 %
Expected dividend yield2.29 %2.49 %
Risk-free interest rate0.96 %0.38 %
Schedule of Stock Option Activity
The following is a summary of stock option activity for the three months ended October 31, 2021:
Time-Based OptionsOptions OutstandingWeighted Average Exercise PriceWeighted Average
Remaining
Contractual Term
Aggregate
Intrinsic Value
Outstanding at July 31, 20211,474,068$38.45 
New grants241,29749.79 
Exercised(14,652)29.30 
Forfeited or expired— 
Outstanding at October 31, 20211,700,713$40.14 6.8$19,961 
Exercisable at October 31, 20211,189,747$37.30 5.8$17,317 
Schedule of RSU Activity
The following is a summary of RSU activity for the three months ended October 31, 2021:
Number of SharesWeighted Average Grant Date Fair Value
Non-vested RSUs as of July 31, 2021156,466 $45.40 
Granted60,876 49.85 
Vested(67,116)45.49 
Forfeited— — 
Non-vested RSUs as of October 31, 2021150,226 $47.17 
Schedule of PRSU Activity
The following is a summary of PRSU activity for the three months ended October 31, 2021:
Number of SharesWeighted Average Grant Date Fair Value
Non-vested PRSUs as of July 31, 2021119,281 $61.05 
Granted (1)
76,743 61.76 
Vested (1)
(76,885)50.70 
Forfeited— — 
Non-vested PRSUs as of October 31, 2021119,139 $65.18 
(1) Includes 44,350 shares granted and vested during the three months ended October 31, 2021, resulting from the payout of PRSUs granted in fiscal year 2019 due to achievement of performance metrics exceeding the target payout.